Least Common Multiple of 1058 and 1060

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1058 and 1060 the smallest integer that is 560740 that is divisible by both numbers.

Least Common Multiple (LCM) of 1058 and 1060 is 560740.

LCM(1058,1060) = 560740

LCM of 1058 and 1060

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1058 and 1060

LCM of 1058 and 1060 is 560740

Least common multiple can be found by multiplying the highest exponent prime factors of 1058 and 1060. First we will calculate the prime factors of 1058 and 1060.

Prime Factorization of 1058


2 1058
23 529
23 23
1

Prime factors of 1058 are 2,23. Prime factorization of 1058 in exponential form is:

1058 = 21×232

Prime Factorization of 1060


2 1060
2 530
5 265
53 53
1

Prime factors of 1060 are 2, 5,53. Prime factorization of 1060 in exponential form is:

1060 = 22×51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 1058 and 1060.

LCM(1058,1060) = 22×51×232×531
LCM(1058,1060) = 560740

Factors of 1058

List of positive integer factors of 1058 that divides 1058 without a remainder.

1, 2, 23, 46, 529, 1058

Factors of 1060

List of positive integer factors of 1060 that divides 1060 without a remainder.

1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060

Least Common Multiple of 1058 and 1060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1058 and 1060, than apply into the LCM equation.

GCF(1058,1060) = 2
LCM(1058,1060) = ( 1058 × 1060) / 2
LCM(1058,1060) = 1121480 / 2
LCM(1058,1060) = 560740

Properties of LCM 1058 and 1060

(i) The LCM of 1060 and 1058 is associative

LCM of 1058 and 1060 = LCM of 1060 and 1058

Related Least Common Multiples of 1058

Related Least Common Multiples of 1060

Frequently Asked Questions on LCM of 1058 and 1060

1. What is the LCM of 1058 and 1060?

Answer: LCM of 1058 and 1060 is 560740.

2. What are the Factors of 1058?

Answer: Factors of 1058 are 1, 2, 23, 46, 529, 1058. There are 6 integers that are factors of 1058. The greatest factor of 1058 is 1058.

3. What are the Factors of 1060?

Answer: Factors of 1060 are 1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060. There are 12 integers that are factors of 1060. The greatest factor of 1060 is 1060.

4. How to Find the LCM of 1058 and 1060?

Answer:

Least Common Multiple of 1058 and 1060 = 560740

Step 1: Find the prime factorization of 1058

1058 = 2 x 23 x 23

Step 2: Find the prime factorization of 1060

1060 = 2 x 2 x 5 x 53

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 560740 = 2 x 2 x 5 x 23 x 23 x 53

Step 4: Therefore, the least common multiple of 1058 and 1060 is 560740.